Eleanor and her sister Joanna are responsible for two chores on their family’s farm: gathering eggs and harvesting wheat. Eleanor can gather 9 dozen eggs or collect 3 bushels of wheat per week. Joanna can gather 2 dozen eggs or collect 2 bushels of wheat per week. The family wants 3 bushels of wheat per week and as many eggs as the sisters can gather. What is the maximum number of eggs the family can have per week? Which sister(s) gather the eggs?